The magnet dimensions are about 6x6x12mm. If a 12 mm long solenoid were constructed with 100 turns - each turn having a 36mm^2 cross sectional area, how much current would it have to carry to have the dipole strength of your magnet? This calculation will let you see how you could use a solenoid to produce a magnetic field equal to that of your bar magnet

The dipole strength is 0.00038416